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3 years ago

The variable y varies directly with the variable x.

Mathematics

1 answer:

almond37 [142]3 years ago

7 0

if the value of X is 14 then the value of y is 21

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A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates afte

nata0808 [166]

Answer:

The coordinates of the reflected triangle are $X'(x,y) = (-3,-2)$ , $Y' (x,y) = (-5,1)$ and $Z'(x,y) = (2,-3)$ .

Step-by-step explanation:

Let be a point $(a,b)\in\mathbb{R}^{2}$ , reflections across x- and y-axes are represented by the following operations:

x-Axis reflection:

$d = d'$

$b - 0 = 0 - b'$

$b' = -b$

y-Axis reflection:

$d = d'$

$a - 0 = 0 - a'$

$a' = -a$

If we know that $X (x,y) = (3,2)$ , $Y(x,y) = (5,-1)$ and $Z (x,y) = (-2, 3)$ , the coordinates after both reflections are, respectively:

$X'(x,y) = (-3,-2)$

$Y' (x,y) = (-5,1)$

$Z'(x,y) = (2,-3)$

The coordinates of the reflected triangle are $X'(x,y) = (-3,-2)$ , $Y' (x,y) = (-5,1)$ and $Z'(x,y) = (2,-3)$ .

8 0

3 years ago

The variable s varies directly as the square of t. When s = 4, t = 12. Nick’s work finding the value of t when s = 48 is shown:

Colt1911 [192]

Answer:

C - He substituted incorrectly when calculating the constant of variation.

7 0

3 years ago

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.4)$